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Finding the Third Proportional to 113,598 and 176,393.25

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Solution

The third proportional to 113,598 and 176,393.25 is: 273,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,598 : 176,393.25 = 176,393.25 : x
  2. Step 2: Convert to fraction form
    113,598/176,393.25 = 176,393.25/x
  3. Step 3: Cross multiply
    113,598x = 176,393.25 × 176,393.25
  4. Step 4: Simplify right side
    113,598x = 31,114,578,645.56
  5. Step 5: Solve for x
    x = 31,114,578,645.56/113,598
  6. Step 6: Final answer
    x = 273,900.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.